Final answer:
To find the number with the greatest absolute value among -5, 6, and -7, we compare their distances from zero. The absolute value of -7 is the largest, making it the correct answer.
Step-by-step explanation:
The question posed by the student deals with the concept of absolute value, which is defined as the distance of a number from zero on the number line, irrespective of direction or sign. To compare the absolute values of -5, 6, and -7, we look at these distances from zero:
- The absolute value of -5 is 5.
- The absolute value of 6 is 6.
- The absolute value of -7 is 7.
Out of these, -7 has the greatest absolute value of 7. Therefore, the correct answer is:C. -7